S8. Number Theory

Thematic Session Schedule

Organizers

Carina Alves (UNESP)
Sajad Salami (UERJ)

Session materials

đź“„ Abstracts

â–¶ Room (soon), ICMC-USP

S8. Schedule

Time Mon 29 Jun Tue 30 Jun Wed 1 Jul Thu 2 Jul Fri 3 Jul
14:00–14:30 Lenny Fukshansky

Open Lunch

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Free Time
14:35–15:05 Lenny Fukshansky
15:10–15:40 Robson Ricardo de Araujo
15:45–16:15 Theo Zapata
16:15–16:45 Coffee break Coffee break
Poster session		 Coffee break Coffee break
16:45–17:15 Sajad Salami
17:20–17:50 Lucas Colucci

S8. Talks

Lenny Fukshansky. Lattices generated by algebraic conjugates.

Lucas Colucci. O Teorema de Erdős–Ginzburg–Ziv e Algumas Generalizações.

Robson Ricardo de Araujo. On covering radius of logarithmic lattices via cyclotomic fields.

Sajad Salami. On the Rank of Jacobian Varieties of the Curves ys = axr + b.

Theo Zapata. C.s.a., c.s.a. and CSA.

S8. Posters

The poster session will take place on Tuesday, June 30, 2026.

Amanda Caroline Silva. Solving combinatorial problems using quotient matrices.

André Rosenbaum Coelho. Manifestations of Barnes polynomials in lattice point enumeration in polytopes.

Antonio Aparecido de Andrade. Lattice constructions via prime degree extensions.

Carina Alves. Quaternionic Lattices over Certain Cyclotomic Fields.

Catharina Moura Moreira. Algebraic and Arithmetic Structure of Finiteness in β-Expansions for a Cubic Pisot Family.

Cleber de Oliveira Santos. Construções de Reticulados Algébricos Bem-arredondados.

Grasiele Cristiane Jorge. Constructions of lattices via multiquadratic number fields.

Henrique de Cristo da Fonseca. The Gauss Class Number Problem via Modular Functions.

Izabella Calais Fernandes. NĂşmeros Congruentes e a Conjectura BSD.

JoĂŁo Pedro Galdino Pillar. Cyclotomic Fields and Lattices.

LuĂ­s Filipe Vital. p-Adic Numbers and Cyclotomic Extensions.

Maria Clara Lopes Taddone. Trinômios e reticulados algébricos: uma abordagem via corpos de números.

Maria Fernanda Zordan Bonini. Maximum Rank of Permutation-Invariant Lattices from Polynomials.

Rafael Antonio Kitagawa Nunes. An Algebraic Construction of the Hexagonal Lattice via Quadratic Fields.

Renan da Paixão Moura. Pólya’s Orchard Problem via Gaussian and Eisenstein Integers.

Thiago Rodrigues da Silva. Superlattices of 2-Dimensional Algebraic Lattices.